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Finding the Fourth Proportional to 26,590.06, 39,882.65 and 8,122.06

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Solution

The fourth proportional to 26,590.06, 39,882.65 and 8,122.06 is: 12,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,590.06 : 39,882.65 = 8,122.06 : x
  2. Step 2: Convert to fraction form
    26,590.06/39,882.65 = 8,122.06/x
  3. Step 3: Cross multiply
    26,590.06x = 39,882.65 × 8,122.06
  4. Step 4: Simplify right side
    26,590.06x = 323,929,076.85
  5. Step 5: Solve for x
    x = 323,929,076.85/26,590.06
  6. Step 6: Final answer
    x = 12,182.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.